36 citations · 128 across the 26 of their papers we have counts for
28 papers
Second order Einstein deformations
Paul-Andi Nagy, Uwe Semmelmann
We study the integrability to second order of infinitesimal Einstein deformations on compact Riemannian and in particular on Kähler manifolds. We find a new way of expressing the n…
Eigenvalue estimates for 3-Sasaki structures
Paul-Andi Nagy, Uwe Semmelmann
We obtain new lower bounds for the first non-zero eigenvalue of the scalar sub-Laplacian for 3-Sasaki metrics, improving Lichnerowicz-Obata type estimates by Ivanov et al. The limi…
The geometry of -Sasaki structures
Paul-Andi Nagy, Uwe Semmelmann
We initiate a systematic study of the deformation theory of the second Einstein metric respectively the proper nearly structure of a -Sas…
Deformations of nearly -structures
Paul-Andi Nagy, Uwe Semmelmann
We describe the second order obstruction to deformation for nearly structures on compact manifolds. Building on work of B.Alexandrov and U.Semmelmann this allows proving rigi…
Conformal Killing forms in Kaehler geometry
Paul-Andi Nagy, Uwe Semmelmann
For Kaehler manifolds we explicitly determine the solution to the conformal Killing form equation in middle degree. In particular, we complete the classification of conformal Killi…
Conformal foliations, Kähler twists and the Weinstein construction
Paul-Andi Nagy, Liviu Ornea
We classify both local and global Kähler structures admitting totally geodesic homothetic foliations with complex leaves. The main building blocks are related to Swann's twists and…